72155160 has 384 divisors, whose sum is σ = 310003200. Its totient is φ = 14100480.

The previous prime is 72155113. The next prime is 72155183. The reversal of 72155160 is 6155127.

It is a super-2 number, since 2×72155160² = 10412734229251200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526612 + ... + 526748.

It is an arithmetic number, because the mean of its divisors is an integer number (807300).

Almost surely, 2^72155160 is an apocalyptic number.

72155160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72155160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155001600).

72155160 is an abundant number, since it is smaller than the sum of its proper divisors (237848040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72155160 is a wasteful number, since it uses less digits than its factorization.

72155160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 72155160 is about 8494.4193444873. The cubic root of 72155160 is about 416.3153889105.

The spelling of 72155160 in words is "seventy-two million, one hundred fifty-five thousand, one hundred sixty".